en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(6x)/((x-5)(x-9))

Solution

y = \frac{6 x}{( x - 5 ) ( x - 9 )}

Solution

Domain : x < 5 or 5 < x < 9 or x > 9

Range : f (x) \leq \frac{- 9 5 - 21}{4} or f (x) \geq \frac{9 5 - 21}{4}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, x = 9, Horizontal y = 0

Extreme Points : Minimum (- 35, - \frac{3 ( 7 - 3 5 )}{4}), Maximum (35, - \frac{3 ( 3 5 + 7 )}{4})

+1

Interval Notation

Domain : (- \infty, 5) \cup (5, 9) \cup (9, \infty)

Range : (- \infty, \frac{- 9 5 - 21}{4}] \cup [\frac{9 5 - 21}{4}, \infty)

Solution steps

Domain of

\frac{6 x}{( x - 5 ) ( x - 9 )} : x < 5 or 5 < x < 9 or x > 9

Range of

\frac{6 x}{( x - 5 ) ( x - 9 )} : f (x) \leq \frac{- 9 5 - 21}{4} or f (x) \geq \frac{9 5 - 21}{4}

Axis interception points of

\frac{6 x}{( x - 5 ) ( x - 9 )} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{6 x}{( x - 5 ) ( x - 9 )} :

Vertical

: x = 5, x = 9,

Horizontal

: y = 0

Extreme Points of

\frac{6 x}{( x - 5 ) ( x - 9 )} :

Minimum

(- 35, - \frac{3 ( 7 - 3 5 )}{4}),

Maximum

(35, - \frac{3 ( 3 5 + 7 )}{4})

Popular Examples

f(x)=(sqrt(x)-x^3)(5x-x^3)

f (x) = (x - x^{3}) (5 x - x^{3})

y = 100 x - 7

y = 2 x^{2} + 10 x + 12

f (x) = 2^{x + 1} + 1

f(x)=x^{2/3}-2x^{1/3}

f (x) = x^{\frac{2}{3}} - 2 x^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is the y=(6x)/((x-5)(x-9)) ?
The y=(6x)/((x-5)(x-9)) is